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3322002100000 = 2555174119081
BaseRepresentation
bin110000010101110110110…
…000010100111100100000
3102202120200001000210022211
4300111312300110330200
5413411430014200000
611022035014011504
7462002210642533
oct60256660247440
912676601023284
103322002100000
1110709426433a1
124579ab946b94
131b1356a6759c
14b6b001a4a1a
155b62d7e87ba
hex30576c14f20

3322002100000 has 144 divisors (see below), whose sum is σ = 8179840409832. Its totient is φ = 1327968000000.

The previous prime is 3322002099973. The next prime is 3322002100031. The reversal of 3322002100000 is 12002233.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3091843956496 + 230158143504 = 1758364^2 + 479748^2 .

It is a super-2 number, since 2×33220021000002 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174090460 + ... + 174109540.

Almost surely, 23322002100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3322002100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4089920204916).

3322002100000 is an abundant number, since it is smaller than the sum of its proper divisors (4857838309832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3322002100000 is an equidigital number, since it uses as much as digits as its factorization.

3322002100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20857 (or 20829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 3322002100000 its reverse (12002233), we get a palindrome (3322014102233).

The spelling of 3322002100000 in words is "three trillion, three hundred twenty-two billion, two million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 1741 2000 2500 3125 3482 4000 5000 6250 6964 8705 10000 12500 13928 17410 19081 20000 25000 27856 34820 38162 43525 50000 55712 69640 76324 87050 95405 100000 139280 152648 174100 190810 217625 278560 305296 348200 381620 435250 477025 610592 696400 763240 870500 954050 1088125 1392800 1526480 1741000 1908100 2176250 2385125 3052960 3482000 3816200 4352500 4770250 5440625 6964000 7632400 8705000 9540500 10881250 11925625 15264800 17410000 19081000 21762500 23851250 33220021 34820000 38162000 43525000 47702500 59628125 66440042 76324000 87050000 95405000 119256250 132880084 166100105 174100000 190810000 238512500 265760168 332200210 381620000 477025000 531520336 664400420 830500525 954050000 1063040672 1328800840 1661001050 1908100000 2657601680 3322002100 4152502625 5315203360 6644004200 8305005250 13288008400 16610010500 20762513125 26576016800 33220021000 41525026250 66440042000 83050052500 103812565625 132880084000 166100105000 207625131250 332200210000 415250262500 664400420000 830500525000 1661001050000 3322002100000